Details

sample86.0ms

Algorithm

intervals

Results

17.0ms	27×	body	1280	valid
16.0ms	214×	body	80	valid
12.0ms	32×	body	640	valid
5.0ms	94×	body	80	nan
5.0ms	18×	body	320	valid
2.0ms	13×	body	160	valid

simplify1.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	1983
5	483
4	150
3	54
2	27
1	18
0	10

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (pow (/ y (+ y z)) y) y))
0.0b	(/ (pow (/ y (+ y z)) y) y)
0.0b	(/ y (+ y z))
6.2b	(pow (/ y (+ y z)) y)

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
121×	`*-un-lft-identity`
90×	`unpow-prod-down`
81×	`add-sqr-sqrt` `add-cube-cbrt`
25×	`associate-/l*`
20×	`distribute-lft-out`
17×	`add-exp-log`
12×	`associate-/r/`
8×	`add-cbrt-cube`
7×	`associate-/r*` `flip3-+` `div-exp` `flip-+` `div-inv`
6×	`add-log-exp`
5×	`pow1` `sqr-pow`
4×	`pow-exp`
3×	`pow-unpow`
2×	`pow-to-exp` `cbrt-undiv` `clear-num` `frac-2neg`
1×	`+-commutative` `sum-log` `pow-pow`

Counts

4 → 184

Calls

4 calls:

69.0ms	(+ x (/ (pow (/ y (+ y z)) y) y))
46.0ms	(/ (pow (/ y (+ y z)) y) y)
18.0ms	(/ y (+ y z))
29.0ms	(pow (/ y (+ y z)) y)

series679.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(+ x (/ (pow (/ y (+ y z)) y) y))
190.0ms	(/ (pow (/ y (+ y z)) y) y)
63.0ms	(/ y (+ y z))
336.0ms	(pow (/ y (+ y z)) y)

simplify1.6s

Counts

196 → 196

Iterations

Iter	Nodes
done	5001
2	3058
1	718
0	299

prune1.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.8b	(pow (/ (cbrt y) (cbrt (+ y z))) y)
1.1b	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ y z)) (cbrt (+ y z)))) y)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

61×	`unpow-prod-down`
51×	`cbrt-prod`
48×	`*-un-lft-identity`
43×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log`
14×	`cbrt-div`
10×	`associate-/r/`
7×	`flip3-+` `pow-exp` `flip-+`
6×	`pow1` `pow-unpow` `distribute-lft-out`
5×	`div-exp`
4×	`frac-times` `add-cbrt-cube` `prod-exp` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `pow1/3` `associate-l/` `associate-r/` `div-inv` `sqr-pow`

Counts

4 → 116

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
16.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) y)
22.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ y z)) (cbrt (+ y z)))) y)

series1.3s

Counts

4 → 12

Calls

4 calls:

271.0ms	(cbrt y)
244.0ms	(cbrt y)
381.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) y)
396.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ y z)) (cbrt (+ y z)))) y)

simplify1.4s

Counts

128 → 128

Iterations

Iter	Nodes
done	5001
2	3075
1	963
0	295

prune932.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize89.0ms

Local error

Found 4 expressions with local error:

1.1b	(pow (* (cbrt (/ y (+ y z))) (cbrt (/ y (+ y z)))) y)
5.4b	(cbrt (/ y (+ y z)))
5.4b	(cbrt (/ y (+ y z)))
5.4b	(cbrt (/ y (+ y z)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

54×	`cbrt-prod`
47×	`*-un-lft-identity`
36×	`times-frac`
29×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`pow1`
9×	`pow-pow` `pow1/3` `distribute-lft-out`
7×	`add-exp-log`
6×	`associate-/r/`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `cbrt-div` `flip3-+` `flip-+` `div-inv`
2×	`pow-prod-down` `pow-exp` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `unpow-prod-down` `pow-plus` `prod-exp` `sqr-pow`

Counts

4 → 105

Calls

4 calls:

28.0ms	(pow (* (cbrt (/ y (+ y z))) (cbrt (/ y (+ y z)))) y)
14.0ms	(cbrt (/ y (+ y z)))
9.0ms	(cbrt (/ y (+ y z)))
9.0ms	(cbrt (/ y (+ y z)))

series935.0ms

Counts

4 → 12

Calls

4 calls:

431.0ms	(pow (* (cbrt (/ y (+ y z))) (cbrt (/ y (+ y z)))) y)
170.0ms	(cbrt (/ y (+ y z)))
161.0ms	(cbrt (/ y (+ y z)))
171.0ms	(cbrt (/ y (+ y z)))

simplify1.9s

Counts

117 → 117

Iterations

Iter	Nodes
done	5001
3	3739
2	924
1	301
0	138

prune952.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ y z))
0.6b	(cbrt y)
0.6b	(cbrt y)
1.1b	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ y z)) (cbrt (+ y z)))) y)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
14×	`cbrt-div`
13×	`unpow-prod-down`
11×	`*-un-lft-identity`
10×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`associate-/r/`
7×	`flip3-+` `flip-+`
5×	`pow1` `pow-exp`
4×	`frac-times` `add-cbrt-cube` `div-exp` `prod-exp` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`associate-l/` `associate-r/`
1×	`pow-to-exp` `pow-pow` `times-frac` `div-inv` `distribute-lft-out` `sqr-pow`

Counts

4 → 67

Calls

4 calls:

3.0ms	(cbrt (+ y z))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
26.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ y z)) (cbrt (+ y z)))) y)

series1.1s

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt (+ y z))
297.0ms	(cbrt y)
228.0ms	(cbrt y)
420.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ y z)) (cbrt (+ y z)))) y)

simplify1.1s

Counts

79 → 79

Iterations

Iter	Nodes
done	5001
2	1791
1	520
0	173

prune765.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes222.0ms

Accuracy

0% (1.4b remaining)

Error of 2.1b against oracle of 0.7b and baseline of 2.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	15

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.0s	6482×	body	80	valid
635.0ms	792×	body	1280	valid
515.0ms	969×	body	640	valid
263.0ms	2977×	body	80	nan
169.0ms	597×	body	320	valid
59.0ms	341×	body	160	valid